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| | micromath.wordpress.com
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| | Continuing the theme of alternative approaches to teaching calculus, I take the liberty of posting a letter sent by Donald Knuth to to the Notices of the American Mathematical Society in March, 1998 (TeX file). Professor Anthony W. Knapp P O Box 333 East Setauket, NY 11733 Dear editor, I am pleased to see so...
| | mathenchant.wordpress.com
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| | There's a pretty thought experiment that's sometimes attributed to Democritus though it's actually due to a later popularizer of the atomic hypothesis1 and it goes like this: Suppose we use the world's sharpest knife to cut a block of cheese in half, leaving two small blocks where before there was one large one. If cheese...
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| | Browse our range of articles on maths. Get advice on studying maths, revising for your exams, and on how to excel in your coursework.
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| The ``probabilistic method'' is the art of applying probabilistic thinking to non-probabilistic problems. Applications of the probabilistic method often feel like magic. Here is my favorite example: Theorem (Erdös, 1965). Call a set $latex {X}&fg=000000$ sum-free if for all $latex {a, b \in X}&fg=000000$, we have $latex {a + b \not\in X}&fg=000000$. For any finite...